Which presses surface by higher force

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SUMMARY

The discussion centers on the forces exerted by two trains, A and B, moving in opposite directions along the equator. Both trains have the same mass and speed, yet the conclusion drawn is that train A exerts a greater force (F1) on the track than train B (F2), leading to the assertion that F1 > F2. The analysis incorporates the concept of pseudo forces in a rotating frame, specifically using the equation for pseudo force (mw²r) to explain the differences in force exertion. The final resolution indicates that using an inertial frame simplifies the problem significantly.

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Homework Statement


A train "A" runs east to west and another train "B" of the same mass runs from west to east at the same speed along the equator."A" presses the track with a force F1 and "B" presses the track with a force F2
<a>F1>F2
<b>F1=F2
<c>F1<F2
<d>the information is insufficient to find the relation b/w F1 and F2

Homework Equations


When we view a motion from a rotating frame with constant angular velocity "w" , then a pseudo force = mw2r gets applied on the object in radially outward direction being viewed[where r is the distance of object from the axis].


The Attempt at a Solution


For both the trains . i am getting same value.
> mg - m(we)2R - F1 = (mv2)/R
> mg - m(we)2R - F2 = (mv2)/R
As for both the trains , mg will be toward Earth's center , pseudo force[as we see from frame of earth] radially outward .
But the answer is <a>.
Any guidance :)
Thanks in advance.
 
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hi vissh! :smile:

(have an omega: ω :wink:)
vissh said:
When we view a motion from a rotating frame with constant angular velocity "w" , then a pseudo force = mw2r gets applied on the object in radially outward direction being viewed[where r is the distance of object from the axis].

that pseudo force is the https://www.physicsforums.com/library.php?do=view_item&itemid=84"

(btw, it would be a lot easier to do this in a stationary frame! :rolleyes:)
 
Last edited by a moderator:
hi tiny-tim :D
Thanks got it now :) And yep using inertial frame gave a quick solution ^.^
 

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